Question

If a^2+b^2+c^2=20 and and ab+bc+ca =8 find the value of a+b+c

Answer 1

Given:-

a²+b²+c²=20

ab+bc+ca=8

To find:-

Value of a+b+c

Solution:-

=>(a+b+c)²=a²+b²+c²+2(ab+bc+ca)

=>(a+b+c)²=20+2(8)

=>(a+b+c)²=36

=>$a + b + c = \sqrt{36}$

=>a+b+c=6

Answer 2

Answer:

Answer is in the picture

Therefore, the value of a+b+c is 6

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